Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 81929: If f(x) = e^(2x) what is f(1/4)? I do not understand how to find this.
Click here to see answer by scott8148(6628) About Me 

Question 82169: The following log problem [log (base 7) (argument =7)= y ]can be "solved with a generalization": y = 1 when the base and the argument are the same number.
Is there are generalization that can be used to solve a log problem like
[9 log (base 9) (arguement = 54) = y] ??

Click here to see answer by stanbon(57984) About Me 

Question 82436: Could someone please help me with this?
Rewrite as a single logarithm:
alog x-blog y-clog z.
first space between g & x on problem there is a little 3 but my computer will not allow the function. It sets a little below the letters. It is the same number (3) between g & Y, and g & Z.

Click here to see answer by Earlsdon(6294) About Me 
Question 82436: Could someone please help me with this?
Rewrite as a single logarithm:
alog x-blog y-clog z.
first space between g & x on problem there is a little 3 but my computer will not allow the function. It sets a little below the letters. It is the same number (3) between g & Y, and g & Z.

Click here to see answer by scott8148(6628) About Me 

Question 82437: Find: log 125.
There is a little 5 a little below, and between the g and 1. My computer doesnt allow you to express that function.
Please help me with this, it is totally confusing me.

Click here to see answer by scott8148(6628) About Me 

Question 82438: Please help me on this problem, they are so confusing to me.
write this exponential statement in logarithmic form: x^2=225

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Question 82560: HELP:
Is my professor unreasonable or am I totally confused? I answered the other 6 questions, I think I have (math)brain freeze at this point, can you please solve these? He tried and I simply could not understand.
1)Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you personally.



5) Logarithms:
a) Using a calculator, find log 10000 where log means log to the base of 10.
Answer:



b) Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown here:

Using this formula, find . Round your answer to the hundredth's place.
Answer:

Show work in this space

This is not from a textbook as far as I know, this is from a written assignment list.

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Question 82659: Between what 2 consecutive integers is the value of log2 66
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Question 82737: 2log4+2logx=log32
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Question 82735: log25 5=x
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Question 82735: log25 5=x
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Question 83190: log(subscript)m 144 = -2
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Question 83004: The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear.
I need the formula for measuring sound and pick a specific sound (a jet's sound when taking off) give the decibels of the sound, and explain what this measurement means.

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 83289: Solve the logarithmic equation and express irrational solutions in lowest radical form.
log (x+9) = log (6) - log (3x-27).
I appreciate any assistance with this!!

Click here to see answer by stanbon(57984) About Me 

Question 83401: Solve the logarithmic equation and express irrational solutions in lowest radical form.
log(x) + log(x+15) = 2
I just can't seem to grasp how to solve this.

Click here to see answer by rapaljer(4667) About Me 

Question 83403: Solve the exponential equation and express approximate solutions to the nearest hundredth.
7^x + 8 = 38

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Question 83403: Solve the exponential equation and express approximate solutions to the nearest hundredth.
7^x + 8 = 38

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Question 83290: Express the following as a single logarithm. Assume that all variables represent positive real numbers.
2+log+subscript+b+X+%2B+8+log+subscript+b+Y+-+4+log+subscript+b+superscript+Z.

Click here to see answer by rapaljer(4667) About Me 

Question 83466: I am having problems doing this portion of my assignment. Could you please help?
Research how sound is measured. Include the following items in your posting:
The formula for measuring sound.
Pick a specific sound, give the decibels of the sound, and explain what this measurement means.

Click here to see answer by stanbon(57984) About Me 

Question 83648: Hopefully - this is my last question! I'm a little confused on this one, probably because it is a word problem.
The equation P(a) = 14.7e^-0.21a, where a is the altitude above sea level measured in miles yields the atmospheric pressure in pounds per square inch. if the atmospheric pressure is apporximately 11.35 pounds per square inch, find that altitude avoe sea level. Express to the nearest hundred feet.

Click here to see answer by scott8148(6628) About Me 

Question 83637: I have two similiar problems to solve. If I can get help with how to solve one of them, I'm sure I can work the other.
e^(x-8) = 33
3^(4x-3) = 3

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Question 83705: What rate of interest, to the nearest tenth of a percent, compounded quarterly is need for an investment of $1600 to grow to $2400 in 8 years?
Everytime I work this problem, I get different solutions.

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Question 83738: For a certain strain of bacteria, the number of bacteria present after t hours is given by the equation: Q = Q(0)e^0.42t where Q(0) represents the initial number of bacteria. How long will it take 700 bacteria to increase to 7,000 bacteria? Express to the nearest tenth.
Click here to see answer by lekelly(20) About Me 

Question 83735: Solve the equation:
(1/6)^x = 1/216

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Question 83735: Solve the equation:
(1/6)^x = 1/216

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Question 83735: Solve the equation:
(1/6)^x = 1/216

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Question 83734: Express log(b) (x^1/4 y^1/5 all over z^7) as the sum or difference of simpler logarithmic quantities. Assume that all variables represent positive real numbers.
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Question 85165: Greetings!
Can I please have help with this problem:
If log10 x + log10 y = 3, then xy = ?
I have not done a lot with logarithms, but for this problem it is supposed to be without the aid of a calculator. Thank you!
v

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Question 85237: Solve
3 ln x = -ln 27
Thanks for any help.

Click here to see answer by psbhowmick(529) About Me 

Question 85269: -I'm kind of stumped on this one. I know that I need to use newton law of cooling, but when I do it dosnt seem to work out right.-
The hotel Bora-Bora is having a pig roast. At noon, the chef puts the pig in a large earthen oven. The pig's original temperature is 75 degrees F. At 2:00 PM the chef checked the pigs temperature and was upset because it had reached only 100 degrees F. If the oven's temperature remains a constant 325 degrees F, at what time may the hotel serve its guests, assuming that pork is done when it reaches 175 degrees F?

Click here to see answer by stanbon(57984) About Me 

Question 85349: Please help!!!
Solve the equation.
log(3+x) - log(x-3) = log3

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Question 85350: Hello! I would like to check my solution.
Mandy will require $11,000 in 2 years to return to college to get an MBA degree. How much money should she ask her parents for now so that, if she invests it at 9% compounded continously, will she have enough for school? Round to the nearest dollar.
Thank you

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 85348: I am having a hard time learning logarithm.
Solve the equation. Give an exact solution.
4^(x+6) = 7

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Question 85475: I need to express log3x+6(logx-logy) as a single logarithm, and simplify if possible. I am not sure how to deal with the 6. This problem is from a handout, so there is no text information.
Click here to see answer by jim_thompson5910(28717) About Me 

Question 85492: Could you please help me with these problems?
1. assume variables are positive and multiply
y^6/9 ( y^-6/9 + 4y ^3/9)
2. Assume x, y, z are positive #'s use properties of logarithms to write expression log
7 sqrt x^6 y ^8 / z^7
3. Find value of x: logx 121/9 = 2
4. simplify (256 x^4 y) 1/4 / (81xy^3) 3/4

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Question 85509: Hi, could you please help me with these problems?
1. Evaluate log3 (3^8)
2. Find value of x: log3(81) =x
3. Write equation (1/3)^-6 = 729 in logarithic form
4. Assume x is positive number and use logarithm expression
log (x + 3) - logx
(is the answer log x+3/ x?)
Thank you for helping me with these!!!!

Click here to see answer by stanbon(57984) About Me 

Question 85515: I need to solve the equation4%5E%283x%29=7%5E%28x%2B1%29.My teacher uses handouts to teach,so I am stumped with no material to reference.Please help.Thanks.
Click here to see answer by stanbon(57984) About Me 
Question 85515: I need to solve the equation4%5E%283x%29=7%5E%28x%2B1%29.My teacher uses handouts to teach,so I am stumped with no material to reference.Please help.Thanks.
Click here to see answer by jim_thompson5910(28717) About Me 

Question 85514: I need to graph the function I+need+to+graph+the+function+f(x)=2^(x-4)-2 and name at least one coordinate point. I am lost and could really use some help.This problem is from a teacher handout, so there is no textbook info.
Click here to see answer by stanbon(57984) About Me 

Question 85594: Give an example of an exponential function. Find this exponential function's inverse which will be a logarithmic function. Plot the graph of both the functions
Click here to see answer by Nate(3500) About Me 

Question 85749: can you please solve this problem?
log2 log2 log2 log2 log2 (65536) = ?

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Question 85728: I need help finding values for logx and log2x, e^x and e^2x. And I need to plot the values to show the effect of doubling x. Please help. Thank you.
Click here to see answer by scianci(186) About Me 

Question 85756: 1.what expressions are equivalent to the one below?
log^381+log^381
2.what expressions are equivalent to the one below?
log(10^5)

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Question 85823: log(3)(4x-7)=2
log(4)x+log(4)(x-3)=1
3^x+1=27
4^x-1=64
help me please!

Click here to see answer by stanbon(57984) About Me 

Question 85912: write this equation in its equivalent logarithmic form
8^y = 300

Click here to see answer by praseenakos@yahoo.com(507) About Me 

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